Final answer:
To find the number of solutions for the equation 1/2y + 3.2y = 20, like terms are combined and simplified to determine that there is one unique solution after isolating the variable y.
Step-by-step explanation:
The question asks for the number of solutions to the algebraic equation 1/2y + 3.2y = 20. To solve this, we first combine like terms to obtain a single variable term on the left side of the equation. Here are the steps to solve the equation:
- Combine the y terms: 0.5y + 3.2y = 3.7y.
- Equate this to 20: 3.7y = 20.
- Divide both sides by 3.7 to isolate y: y = 20 / 3.7.
- Calculate the result to find the value of y.
After performing the division, we find the value of y that satisfies the equation. Therefore, this equation has one unique solution.